Solve for the value of m

7 answers
Question:

Solve for the value of m

[tex]Solve for the value of m[/tex]


Answers

-2/5 or -.4

|5x+2|=0
5x+2=0
5x=-2
X=-2/5

[tex]2m-\frac { 1 }{ 2 } =\frac { m }{ 7 } +\frac { m }{ 2 } \\ \\ \frac { 1 }{ m } \left( 2m-\frac { 1 }{ 2 } \right) =\frac { 1 }{ m } \left( \frac { m }{ 7 } +\frac { m }{ 2 } \right)[/tex]

[tex]\\ \\ \frac { 2m }{ m } -\frac { 1 }{ 2m } =\frac { m }{ 7m } +\frac { m }{ 2m } \\ \\ 2-\frac { 1 }{ 2m } =\frac { 1 }{ 7 } +\frac { 1 }{ 2 } \\ \\ 2-\frac { 1 }{ 7 } -\frac { 1 }{ 2 } =\frac { 1 }{ 2m }[/tex]

[tex]\\ \\ \frac { 28 }{ 14 } -\frac { 2 }{ 14 } -\frac { 7 }{ 14 } =\frac { 1 }{ 2m } \\ \\ \frac { 19 }{ 14 } =\frac { 1 }{ 2m } \\ \\ { \left( 2m \right) }^{ -1 }={ \left( \frac { 14 }{ 19 } \right) }^{ -1 }[/tex]

[tex]\\ \\ 2m=\frac { 14 }{ 19 } \\ \\ \frac { 1 }{ 2 } \cdot 2m=\frac { 14 }{ 19 } \cdot \frac { 1 }{ 2 } \\ \\ m=\frac { 14 }{ 38 } =\frac { 7 }{ 19 }[/tex]

[tex]2m-\frac { 1 }{ 2 } =\frac { m }{ 7 } +\frac { m }{ 2 } \\ \\ \frac { 1 }{ m } \left( 2m-\frac { 1 }{ 2 } \right) =\frac { 1 }{ m } \left( \frac { m }{ 7 } +\frac { m }{ 2 } \right)[/tex]

[tex]\\ \\ \frac { 2m }{ m } -\frac { 1 }{ 2m } =\frac { m }{ 7m } +\frac { m }{ 2m } \\ \\ 2-\frac { 1 }{ 2m } =\frac { 1 }{ 7 } +\frac { 1 }{ 2 } \\ \\ 2-\frac { 1 }{ 7 } -\frac { 1 }{ 2 } =\frac { 1 }{ 2m }[/tex]

[tex]\\ \\ \frac { 28 }{ 14 } -\frac { 2 }{ 14 } -\frac { 7 }{ 14 } =\frac { 1 }{ 2m } \\ \\ \frac { 19 }{ 14 } =\frac { 1 }{ 2m } \\ \\ { \left( 2m \right) }^{ -1 }={ \left( \frac { 14 }{ 19 } \right) }^{ -1 }[/tex]

[tex]\\ \\ 2m=\frac { 14 }{ 19 } \\ \\ \frac { 1 }{ 2 } \cdot 2m=\frac { 14 }{ 19 } \cdot \frac { 1 }{ 2 } \\ \\ m=\frac { 14 }{ 38 } =\frac { 7 }{ 19 }[/tex]

There is no solution

Step-by-step explanation:

31/37=m/3

We move all terms to the left:

31/37-(m/3)=0

We add all the numbers together, and all the variables

-(+m/3)+31/37=0

We get rid of parentheses

-m/3+31/37=0

We calculate fractions

There is no solution for this equation

|5x+2|-3 = -3 the absolute value of -3=3

Step-by-step explanation:

There is no solution the answer is 0

m = 7

Step-by-step explanation:

The 3 given angles lie on a straight line, thus sum to 180° , then

8m - 4 + 90 + 5m + 3 = 180, that is

13m + 89 = 180 ( subtract 89 from both sides )

13m = 91 ( divide both sides by 13 )

m = 7

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